Details

Time bar (total: 13.2s)

sample20.0ms

Algorithm
intervals
Results
8.0ms285×body80valid

simplify559.0ms

Counts
1 → 1
Iterations
IterNodes
done185
11185
10183
9177
8170
7155
6138
5109
477
349
225
117
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.8b
(* (/ (- x y) (- z y)) t)

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*l/ *-commutative
Counts
2 → 106
Calls
2 calls:
26.0ms
(/ (- x y) (- z y))
67.0ms
(* (/ (- x y) (- z y)) t)

series196.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (- x y) (- z y))
126.0ms
(* (/ (- x y) (- z y)) t)

simplify864.0ms

Counts
112 → 112
Iterations
IterNodes
done5001
21481
1381
0147

prune695.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
1.8b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×associate-*r* add-cube-cbrt
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×expm1-log1p-u cbrt-undiv rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×clear-num frac-2neg pow-flip inv-pow
Counts
3 → 125
Calls
3 calls:
18.0ms
(/ 1 (- z y))
69.0ms
(* (- x y) (/ 1 (- z y)))
71.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series270.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ 1 (- z y))
85.0ms
(* (- x y) (/ 1 (- z y)))
130.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify5.2s

Counts
134 → 134
Iterations
IterNodes
done5001
23681
1428
0167

prune470.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
8.7b
(* (- x y) (/ t (- z y)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-cbrt-cube add-exp-log
8×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-*l*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×expm1-log1p-u frac-times cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
2 → 87
Calls
2 calls:
8.0ms
(/ t (- z y))
37.0ms
(* (- x y) (/ t (- z y)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ t (- z y))
73.0ms
(* (- x y) (/ t (- z y)))

simplify919.0ms

Counts
93 → 93
Iterations
IterNodes
done5000
21705
1325
0134

prune449.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) t)
0.7b
(/ 1 (/ (- z y) t))
8.7b
(* (- x y) (/ 1 (/ (- z y) t)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
240×times-frac
183×add-sqr-sqrt
171×*-un-lft-identity
117×add-cube-cbrt
62×associate-*r*
35×add-exp-log
26×distribute-lft-out-- difference-of-squares
22×associate-/r*
19×add-cbrt-cube
15×div-exp
10×div-inv
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×associate-*l* unswap-sqr
4×rec-exp 1-exp
3×expm1-log1p-u flip3-- cbrt-unprod log1p-expm1-u flip-- add-log-exp
2×frac-times clear-num frac-2neg associate-*l/ associate-/r/ associate-/l/
1×div-sub pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
3 → 241
Calls
3 calls:
14.0ms
(/ (- z y) t)
13.0ms
(/ 1 (/ (- z y) t))
53.0ms
(* (- x y) (/ 1 (/ (- z y) t)))

series267.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (- z y) t)
103.0ms
(/ 1 (/ (- z y) t))
125.0ms
(* (- x y) (/ 1 (/ (- z y) t)))

simplify418.0ms

Counts
250 → 250
Iterations
IterNodes
done5001
1847
0296

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes288.0ms

Accuracy

-4.9% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.2b

bsearch129.0ms

Steps
ItersRangePoint
7
1.9400923948212813e-119
4.72971832933165e-118
5.46212474574853e-119
9
-1.098014374465935e-232
-1.3133290396689477e-237
-1.0150193256325162e-235

simplify5.0ms

Iterations
IterNodes
done27
127
019

end0.0ms

sample847.0ms

Algorithm
intervals
Results
442.0ms8745×body80valid